Quasi-cyclic codes as codes over rings of matrices

DOI10.1016/j.ffa.2010.01.001zbMath1193.94072OpenAlexW1987011728MaRDI QIDQ964418

Christophe Chabot, Abdelkader Necer, Pierre-Louis Cayrel

Publication date: 15 April 2010

Published in: Finite Fields and their Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.ffa.2010.01.001

zbMATH Keywords

quasi-cyclic codeslinear recurrent sequencesrings of matricesself-dual codes

Mathematics Subject Classification ID

Other types of codes (94B60) Cyclic codes (94B15)

Related Items (14)

LINEAR RECURRING SEQUENCES OVER NONCOMMUTATIVE RINGS ⋮ Optimal binary codes and binary construction of quantum codes ⋮ Unnamed Item ⋮ Two-sided Galois duals of multi-twisted codes ⋮ Constructing quasi-cyclic codes from linear algebra theory ⋮ Construction of quasi-cyclic self-dual codes ⋮ Enumeration formulae for self-dual, self-orthogonal and complementary-dual quasi-cyclic codes over finite fields ⋮ Cyclic codes over a non-commutative finite chain ring ⋮ Binary quasi-cyclic codes of index 2 and skew polynomial rings ⋮ Quasi-cyclic codes of index 2 and skew polynomial rings over finite fields ⋮ Binary construction of pure additive quantum codes with distance five or six ⋮ On quasi-cyclic codes as a generalization of cyclic codes ⋮ Half-cyclic, dihedral and half-dihedral codes ⋮ Unnamed Item

Cites Work

• Coding with skew polynomial rings
• The multiple-recursive matrix method for pseudorandom number generation
• Structural properties and enumeration of quasi cyclic codes
• On the algebraic structure of quasi-cyclic codes .I. Finite fields
• Systèmes récursifs et algèbre de hadamard de suites récurrentes linéaires sur des anneaux commutatifs.
• Algebraic structure of quasicyclic codes
• Unnamed Item
• Unnamed Item

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